Measure of Departure from Extended Bradley-Terry Model for Paired Comparisons

Kouji Tahata, Keigo Kozai, Sadao Tomizawa

Abstract

For paired comparisons, we propose a measure to represent the degree of departure from the extended Bradley-Terry model. The measure is expressed by using the Kullback-Leibler information and it ranges between $0$ and $1$.The measure is applied to the win-loss standings of professional baseball league in Japan.

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